On The Ψ – Asymptotic Stability Of Nonlinear Lyapunov Matrix Differential Equations

Aurel Diamandescu

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On The Ψ – Asymptotic Stability Of Nonlinear Lyapunov Matrix Differential Equations

机译：非线性Lyapunov矩阵微分方程的Ψ-渐近稳定性。

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In this paper are proved (necessary and) sufficient conditions for Ψ - asymptotic stability of the trivial solution of onlinear Lyapunov matrix differential equations.

机译：本文证明了线性Lyapunov矩阵微分方程平凡解的Ψ-渐近稳定性的（必要和）充分条件。

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《Annals of the West University of Timisoara: Mathematics and Computer Science》 |2012年第1期|共22页
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Aurel Diamandescu;
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1. On the Ψ-Conditional Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [J] . Aurel Diamandescu Annals of the West University of Timisoara: Mathematics and Computer Science . 2016,第2期

机译：非线性Lyapunov矩阵微分方程的Ψ条件渐近稳定性。
2. On the Ψ-Conditional Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [J] . Aurel Diamandescu Annals of the West University of Timisoara: Mathematics and Computer Science . 2015,第2期

机译：非线性Lyapunov矩阵微分方程的Ψ条件渐近稳定性。
3. On the Ψ - Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [J] . Aurel Diamandescu Annals of the West University of Timisoara: Mathematics and Computer Science . 2014,第2期

机译：非线性Lyapunov矩阵微分方程的Ψ-指数渐近稳定性。
4. Lyapunov stability and adaptive regulation of a class of nonlinear nonautonomous second-order differential equations [C] . de la Sen, M. . 2001

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5. Asymptotic Stability of Systems of Coupled Nonlinear Partial Differential Equations arising From Acoustic-Structural and Fluid-Structural Interaction. [D] . Lu, Yongjin. 2012

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6. Optimal Variational Asymptotic Method for Nonlinear Fractional Partial Differential Equations [O] . Vipul K. Baranwal, Ram K. Pandey, Om P. Singh 2014

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7. On the Ψ-Conditional Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [O] . Diamandescu Aurel 2016

机译：非线性Lyapunov矩阵微分方程的Ψ-条件指数渐近稳定性
8. Lyapunov stability for partial differential equations. Part 1 - Lyapunov stability theory and the stability of solutions to partial differential equations. Part 2 - Contraction groups and equivalent norms [R] . Buis, G. R., Eisen, M. M., Vogt, W. G. 1968

机译：偏微分方程的Lyapunov稳定性。第1部分 - Lyapunov稳定性理论和偏微分方程解的稳定性。第2部分 - 收缩组和等效规范

On The Ψ – Asymptotic Stability Of Nonlinear Lyapunov Matrix Differential Equations

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